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2374892640 = 253253153201
BaseRepresentation
bin1000110110001101…
…1111110001100000
320010111210001020200
42031203133301200
514330433031030
61031354105200
7112565153151
oct21543376140
96114701220
102374892640
111009623a9a
1256341b200
132bb037923
141875a5928
15dd766d60
hex8d8dfc60

2374892640 has 144 divisors (see below), whose sum is σ = 8365908096. Its totient is φ = 612864000.

The previous prime is 2374892627. The next prime is 2374892659. The reversal of 2374892640 is 462984732.

2374892640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18040 + ... + 71240.

It is an arithmetic number, because the mean of its divisors is an integer number (58096584).

Almost surely, 22374892640 is an apocalyptic number.

2374892640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2374892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182954048).

2374892640 is an abundant number, since it is smaller than the sum of its proper divisors (5991015456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2374892640 is a wasteful number, since it uses less digits than its factorization.

2374892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53253 (or 53242 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2374892640 is about 48732.8702212377. The cubic root of 2374892640 is about 1334.1807202264.

The spelling of 2374892640 in words is "two billion, three hundred seventy-four million, eight hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 53201 106402 159603 212804 266005 319206 425608 478809 532010 638412 798015 851216 957618 1064020 1276824 1596030 1649231 1702432 1915236 2128040 2394045 2553648 3192060 3298462 3830472 4256080 4788090 4947693 5107296 6384120 6596924 7660944 8246155 8512160 9576180 9895386 12768240 13193848 14843079 15321888 16492310 19152360 19790772 24738465 25536480 26387696 29686158 32984620 38304720 39581544 49476930 52775392 59372316 65969240 74215395 76609440 79163088 98953860 118744632 131938480 148430790 158326176 197907720 237489264 263876960 296861580 395815440 474978528 593723160 791630880 1187446320 2374892640